Question

A right triangle has a hypotenuse of length 24 and an angle of 30°, with a side opposite this angle of length 12. A second right triangle also has an angle of 30°, with a hypotenuse of length 12. Determine the length of the side opposite the 30° angle on the second triangle. (1 point)
Responses

The side opposite the second triangle’s 30° angle has length 123–√
12
3
.
The side opposite the second triangle’s 30° angle has length 12 Start Root 3 End Root .

The side opposite the second triangle’s 30° angle has length 3.
The side opposite the second triangle’s 30° angle has length 3.

The side opposite the second triangle’s 30° angle has length 6.
The side opposite the second triangle’s 30° angle has length 6.

The side opposite the second triangle’s 30° angle has length 24.
The side opposite the second triangle’s 30° angle has length 24.

Answer 1

6

Reason: In a 30°-60°-90° triangle the side opposite 30° is half the hypotenuse. For hypotenuse 12, opposite side = 12/2 = 6.